101734753680 has 1280 divisors, whose sum is σ = 447399936000. Its totient is φ = 20714766336.

The previous prime is 101734753649. The next prime is 101734753697. The reversal of 101734753680 is 86357437101.

101734753680 is a `hidden beast` number, since 1 + 0 + 1 + 7 + 34 + 7 + 536 + 80 = 666.

101734753680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 588062074 + ... + 588062246.

It is an arithmetic number, because the mean of its divisors is an integer number (349531200).

Almost surely, 2^101734753680 is an apocalyptic number.

101734753680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101734753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223699968000).

101734753680 is an abundant number, since it is smaller than the sum of its proper divisors (345665182320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101734753680 is a wasteful number, since it uses less digits than its factorization.

101734753680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 101734753680 in words is "one hundred one billion, seven hundred thirty-four million, seven hundred fifty-three thousand, six hundred eighty".